Dijous 11 de juny, el Dipòsit Digital no estarà operatiu de 15:00 a 17:00 h per tasques de manteniment. Disculpeu les molèsties.
El jueves 11 de Junio, el Dipòsit Digital no estará operativo de 15:00 a 17:00 h debido a tareas de mantenimiento. Disculpen las molestias.
Thursday, Jun 11th, the Digital Repository will be unavailable due to a system update.

Files

tfg_campos_fornes_marta.pdf (15.17 MB)

Document type

Bachelor thesis

Publication date

2023-06-13

Publication license

cc-by-nc-nd (c) Marta Campos Fornés, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/202900

Classificació de superfı́cies compactes i la seva aplicació didàctica a l’aula de batxillerat

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

Abstract

[en] In this work, we present a complete characterization of the classification of compact surfaces from a topological point of view with the main goal of contextualizing the design of a didactic proposal whose objective is to bring topology closer to high school students. This work is divided into two parts. The first one, in which we study the classification of both bordered and unbordered surfaces from a theoretical perspective, includes an alternative proof to the classical one for the Classification Theorem for Compact Surfaces. In the second one, where the didactic proposal is presented, we use experiential and manipulative mathematics as a bridge between students and mathematical abstraction, and we analyze the proposal’s implementation at Barcelona’s INS Pedralbes.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Sergi Muria Maldonado

Subject

Ensenyament de la matemàtica, Treballs de fi de grau, Didàctica de la matemàtica, Geometria, Superfícies de Riemann

Subject (English)

Mathematics education, Bachelor's theses, Mathematics teaching methods, Geometry, Riemann surfaces

Citation

Collections

Treballs Finals de Grau (TFG) - Matemàtiques

Citation

CAMPOS FORNÉS, Marta. Classificació de superfı́cies compactes i la seva aplicació didàctica a l’aula de batxillerat. [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/202900

Export metadata

JSON - METS

Share record